Math

Humanities

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You bicycle 3.2 km east in 0.1 h, then 3.2 km at 15.0 degrees east of north in 0.21 h, and finally another 3.2km due east in 0.1 h to reach its destination. What is the average "velocity" for the entire trip?

1 Answer

Let the direction of displacement towards EAST be along positive direction of x-axis and that of NORTH be along positive direction of y-axis. So the unit vector along these directions be #hati and hat j # respectively.

First displacement ( #vec(d_1#) is 3.2 km east in 0.1 h

So

#vec(d_1)=3.2hatikm#

Second displacement ( #vec(d_2#) 3.2 km at 15.0 degrees east of north in 0.21 h, This means the direction of displacement makes #75^@# with #hati#